{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2009:7QG376NY6SIMG6J5NPNHWFHMKG","short_pith_number":"pith:7QG376NY","schema_version":"1.0","canonical_sha256":"fc0dbff9b8f490c3793d6bda7b14ec519da452de8c11d658be001e8543e8d66a","source":{"kind":"arxiv","id":"0911.5085","version":2},"attestation_state":"computed","paper":{"title":"The Heat Kernel on AdS_3 and its Applications","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Justin R David, Matthias R Gaberdiel, Rajesh Gopakumar","submitted_at":"2009-11-26T13:39:28Z","abstract_excerpt":"We derive the heat kernel for arbitrary tensor fields on S^3 and (Euclidean) AdS_3 using a group theoretic approach. We use these results to also obtain the heat kernel on certain quotients of these spaces. In particular, we give a simple, explicit expression for the one loop determinant for a field of arbitrary spin s in thermal AdS_3. We apply this to the calculation of the one loop partition function of N=1 supergravity on AdS_3. We find that the answer factorizes into left- and right-moving super Virasoro characters built on the SL(2, C) invariant vacuum, as argued by Maloney and Witten on"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"0911.5085","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-11-26T13:39:28Z","cross_cats_sorted":["gr-qc","math-ph","math.MP"],"title_canon_sha256":"5c8da16ffc45ec9c6ccfce116da6db74c9c60e7a87d5698238c7bfe3a2a39f7c","abstract_canon_sha256":"820d5fc23a3b638ca5d7c6a2f73b73fd6fe3df76f423765daa0b00cb3cf3d4cd"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T17:28:13.228085Z","signature_b64":"8QGSFClOEfSvMHgxDFdEl2RuCBTvlW9SGM6+SqrV1hEO2ImQpSnS+YuljrOSDpAvpOX6uLzqMjC/aAVPm5zsAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fc0dbff9b8f490c3793d6bda7b14ec519da452de8c11d658be001e8543e8d66a","last_reissued_at":"2026-07-04T17:28:13.227583Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T17:28:13.227583Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Heat Kernel on AdS_3 and its Applications","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Justin R David, Matthias R Gaberdiel, Rajesh Gopakumar","submitted_at":"2009-11-26T13:39:28Z","abstract_excerpt":"We derive the heat kernel for arbitrary tensor fields on S^3 and (Euclidean) AdS_3 using a group theoretic approach. We use these results to also obtain the heat kernel on certain quotients of these spaces. In particular, we give a simple, explicit expression for the one loop determinant for a field of arbitrary spin s in thermal AdS_3. We apply this to the calculation of the one loop partition function of N=1 supergravity on AdS_3. We find that the answer factorizes into left- and right-moving super Virasoro characters built on the SL(2, C) invariant vacuum, as argued by Maloney and Witten on"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0911.5085","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/0911.5085/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"0911.5085","created_at":"2026-07-04T17:28:13.227650+00:00"},{"alias_kind":"arxiv_version","alias_value":"0911.5085v2","created_at":"2026-07-04T17:28:13.227650+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0911.5085","created_at":"2026-07-04T17:28:13.227650+00:00"},{"alias_kind":"pith_short_12","alias_value":"7QG376NY6SIM","created_at":"2026-07-04T17:28:13.227650+00:00"},{"alias_kind":"pith_short_16","alias_value":"7QG376NY6SIMG6J5","created_at":"2026-07-04T17:28:13.227650+00:00"},{"alias_kind":"pith_short_8","alias_value":"7QG376NY","created_at":"2026-07-04T17:28:13.227650+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2606.08461","citing_title":"Semi-universality of conformal higher-derivative and conformal higher-spin fields","ref_index":24,"is_internal_anchor":true},{"citing_arxiv_id":"2604.24834","citing_title":"Revisiting near-extremal and near-BPS black holes in AdS3 supergravity","ref_index":39,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/7QG376NY6SIMG6J5NPNHWFHMKG","json":"https://pith.science/pith/7QG376NY6SIMG6J5NPNHWFHMKG.json","graph_json":"https://pith.science/api/pith-number/7QG376NY6SIMG6J5NPNHWFHMKG/graph.json","events_json":"https://pith.science/api/pith-number/7QG376NY6SIMG6J5NPNHWFHMKG/events.json","paper":"https://pith.science/paper/7QG376NY"},"agent_actions":{"view_html":"https://pith.science/pith/7QG376NY6SIMG6J5NPNHWFHMKG","download_json":"https://pith.science/pith/7QG376NY6SIMG6J5NPNHWFHMKG.json","view_paper":"https://pith.science/paper/7QG376NY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0911.5085&json=true","fetch_graph":"https://pith.science/api/pith-number/7QG376NY6SIMG6J5NPNHWFHMKG/graph.json","fetch_events":"https://pith.science/api/pith-number/7QG376NY6SIMG6J5NPNHWFHMKG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7QG376NY6SIMG6J5NPNHWFHMKG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7QG376NY6SIMG6J5NPNHWFHMKG/action/storage_attestation","attest_author":"https://pith.science/pith/7QG376NY6SIMG6J5NPNHWFHMKG/action/author_attestation","sign_citation":"https://pith.science/pith/7QG376NY6SIMG6J5NPNHWFHMKG/action/citation_signature","submit_replication":"https://pith.science/pith/7QG376NY6SIMG6J5NPNHWFHMKG/action/replication_record"}},"created_at":"2026-07-04T17:28:13.227650+00:00","updated_at":"2026-07-04T17:28:13.227650+00:00"}